Derive Simpson's rule with error term by using f fix) dx = aofixo)+aifixi)+a2fix2) +

Chapter 4, Problem 26

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Derive Simpson's rule with error term by using f fix) dx = aofixo)+aifixi)+a2fix2) + kf(4)i%). Jxo Find ciq, a\, and a2 from the fact that Simpson's rule is exact for fix) x" when n 1,2, and 3. Then find k by applying the integration formula with fix) = x 4 .

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